Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal Solution

STEP 0: Pre-Calculation Summary
Formula Used
Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20))
ri = 3/2*sqrt((135+(59*sqrt(5)))/205)*dSymmetry/(3*sqrt((5-sqrt(5))/20))
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Insphere Radius of Deltoidal Hexecontahedron - (Measured in Meter) - Insphere Radius of Deltoidal Hexecontahedron is the radius of the sphere that is contained by the Deltoidal Hexecontahedron in such a way that all the faces just touch the sphere.
Symmetry Diagonal of Deltoidal Hexecontahedron - (Measured in Meter) - Symmetry Diagonal of Deltoidal Hexecontahedron is the diagonal which cuts the deltoid faces of Deltoidal Hexecontahedron into two equal halves.
STEP 1: Convert Input(s) to Base Unit
Symmetry Diagonal of Deltoidal Hexecontahedron: 11 Meter --> 11 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ri = 3/2*sqrt((135+(59*sqrt(5)))/205)*dSymmetry/(3*sqrt((5-sqrt(5))/20)) --> 3/2*sqrt((135+(59*sqrt(5)))/205)*11/(3*sqrt((5-sqrt(5))/20))
Evaluating ... ...
ri = 16.8823987165922
STEP 3: Convert Result to Output's Unit
16.8823987165922 Meter --> No Conversion Required
FINAL ANSWER
16.8823987165922 16.8824 Meter <-- Insphere Radius of Deltoidal Hexecontahedron
(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli
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8 Insphere Radius of Deltoidal Hexecontahedron Calculators

Insphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio
Go Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(9/45*sqrt(10*(157+(31*sqrt(5)))))/(SA:V of Deltoidal Hexecontahedron*(370+(164*sqrt(5)))/25)
Insphere Radius of Deltoidal Hexecontahedron given Total Surface Area
Go Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/(9*sqrt(10*(157+(31*sqrt(5))))))
Insphere Radius of Deltoidal Hexecontahedron given NonSymmetry Diagonal
Go Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/(sqrt((470+(156*sqrt(5)))/5))
Insphere Radius of Deltoidal Hexecontahedron given Volume
Go Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*((11*Volume of Deltoidal Hexecontahedron)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3)
Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal
Go Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20))
Insphere Radius of Deltoidal Hexecontahedron given Midsphere Radius
Go Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(20*Midsphere Radius of Deltoidal Hexecontahedron)/(3*(5+(3*sqrt(5))))
Insphere Radius of Deltoidal Hexecontahedron given Short Edge
Go Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5)))
Insphere Radius of Deltoidal Hexecontahedron
Go Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*Long Edge of Deltoidal Hexecontahedron

Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal Formula

Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20))
ri = 3/2*sqrt((135+(59*sqrt(5)))/205)*dSymmetry/(3*sqrt((5-sqrt(5))/20))

What is Deltoidal Hexecontahedron?

A Deltoidal Hexecontahedron is a polyhedron with deltoid (kite) faces, those have two angles with 86.97°, one angle with 118.3° and one with 67.8°. It has twenty vertices with three edges, thirty vertices with four edges and twelve vertices with five edges. In total, it has 60 faces, 120 edges, 62 vertices.

How to Calculate Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal?

Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal calculator uses Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20)) to calculate the Insphere Radius of Deltoidal Hexecontahedron, Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal formula is defined as the radius of the sphere that is contained by the Deltoidal Hexecontahedron in such a way that all the faces just touch the sphere, calculated using symmetry diagonal of Deltoidal Hexecontahedron. Insphere Radius of Deltoidal Hexecontahedron is denoted by ri symbol.

How to calculate Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal using this online calculator? To use this online calculator for Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal, enter Symmetry Diagonal of Deltoidal Hexecontahedron (dSymmetry) and hit the calculate button. Here is how the Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal calculation can be explained with given input values -> 16.8824 = 3/2*sqrt((135+(59*sqrt(5)))/205)*11/(3*sqrt((5-sqrt(5))/20)).

FAQ

What is Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal?
Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal formula is defined as the radius of the sphere that is contained by the Deltoidal Hexecontahedron in such a way that all the faces just touch the sphere, calculated using symmetry diagonal of Deltoidal Hexecontahedron and is represented as ri = 3/2*sqrt((135+(59*sqrt(5)))/205)*dSymmetry/(3*sqrt((5-sqrt(5))/20)) or Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20)). Symmetry Diagonal of Deltoidal Hexecontahedron is the diagonal which cuts the deltoid faces of Deltoidal Hexecontahedron into two equal halves.
How to calculate Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal?
Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal formula is defined as the radius of the sphere that is contained by the Deltoidal Hexecontahedron in such a way that all the faces just touch the sphere, calculated using symmetry diagonal of Deltoidal Hexecontahedron is calculated using Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20)). To calculate Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal, you need Symmetry Diagonal of Deltoidal Hexecontahedron (dSymmetry). With our tool, you need to enter the respective value for Symmetry Diagonal of Deltoidal Hexecontahedron and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Insphere Radius of Deltoidal Hexecontahedron?
In this formula, Insphere Radius of Deltoidal Hexecontahedron uses Symmetry Diagonal of Deltoidal Hexecontahedron. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*Long Edge of Deltoidal Hexecontahedron
  • Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5)))
  • Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/(sqrt((470+(156*sqrt(5)))/5))
  • Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/(9*sqrt(10*(157+(31*sqrt(5))))))
  • Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*((11*Volume of Deltoidal Hexecontahedron)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3)
  • Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(20*Midsphere Radius of Deltoidal Hexecontahedron)/(3*(5+(3*sqrt(5))))
  • Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(9/45*sqrt(10*(157+(31*sqrt(5)))))/(SA:V of Deltoidal Hexecontahedron*(370+(164*sqrt(5)))/25)
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